LCM of 966, 874, 563, 180, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 874, 563, 180, 285 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 966, 874, 563, 180, 285. So, keep reading to learn more.
Given numbers are 966,874,563,180,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,874,563,180,285 is 309999060.
Find LCM of 966,874,563,180,285 with Prime Factorization
| 2 | 966, 874, 563, 180, 285 |
| 3 | 483, 437, 563, 90, 285 |
| 5 | 161, 437, 563, 30, 95 |
| 19 | 161, 437, 563, 6, 19 |
| 23 | 161, 23, 563, 6, 1 |
| 7, 1, 563, 6, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 23 x 7 x 1 x 563 x 6 x 1 = 309999060
Therefore, the lowest common multiple of 966,874,563,180,285 is 309999060.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
966 x 874 x 563 x 180 x 285 = 24384526059600
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
874 : 1, 2, 19, 23, 38, 46, 437, 874
563 : 1, 563
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,874,563,180,285, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
874:2x 19x 23
563:563
180:2x 2x 3x 3x 5
285:3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5x 19x 23 = 78660
Therefore, the value for common factors is 78660.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 24384526059600/(1x78660)
LCM = 24384526059600/78660
LCM = 309999060
Thus, we can understand that the LCM of 966,874,563,180,285 is 309999060.
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FAQs on LCM of 966, 874, 563, 180, 285
1. What is the LCM of 966, 874, 563, 180, 285?
Answer: LCM of 966, 874, 563, 180, 285 is 309999060.
2. How to calculate the LCM of 966, 874, 563, 180, 285?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 966, 874, 563, 180, 285.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.